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- Title
On birational transformations of Hilbert schemes of points on K3 surfaces.
- Authors
Beri, Pietro; Cattaneo, Alberto
- Abstract
We classify the group of birational automorphisms of Hilbert schemes of points on algebraic K3 surfaces of Picard rank one. We study whether these automorphisms are symplectic or non-symplectic and if there exists a hyperkähler birational model on which they become biregular. We also present new geometrical constructions for some of these automorphisms.
- Subjects
GEOMETRICAL constructions; ALGEBRAIC surfaces; AUTOMORPHISMS; SYMPLECTIC manifolds
- Publication
Mathematische Zeitschrift, 2022, Vol 301, Issue 2, p1537
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-021-02960-y